College Algebra CLEP Prep Practice Exam

What is the equation of the circle with center at (2, 5) and a radius of 3?

1. x2 + y2 = 12

2. y2 – x2 = 25

3. x2 + y2 = 9

4. x2 – y2 = 9

The correct answer is: x2 + y2 = 9

The equation of a circle is typically written as (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center point and r is the radius. In this case, the center point is given as (2, 5) and the radius is 3. Option A has the center point (0, 0) and would not result in a circle with a center at (2, 5). Option B has the center point (0, 0) and would also not result in a circle with a center at (2, 5). Additionally, the values of x and y in the equation are switched, which would result in a hyperbola instead of a circle. Option D has a minus sign instead of a plus sign between x and y, which would result in an equation for a